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Finding the Fourth Proportional to 8,422.86, 11,633.85 and 5,779.02

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Solution

The fourth proportional to 8,422.86, 11,633.85 and 5,779.02 is: 7,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.86 : 11,633.85 = 5,779.02 : x
  2. Step 2: Convert to fraction form
    8,422.86/11,633.85 = 5,779.02/x
  3. Step 3: Cross multiply
    8,422.86x = 11,633.85 × 5,779.02
  4. Step 4: Simplify right side
    8,422.86x = 67,232,251.83
  5. Step 5: Solve for x
    x = 67,232,251.83/8,422.86
  6. Step 6: Final answer
    x = 7,982.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.